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GCF of 729/12, 262/786

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 729/12, 262/786 i.e 1/1572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/12, 262/786.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 729/12,262/786?

Given fractions are 729/12,262/786

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 729/12,262/786, numerators are 729,262

Denominators are 12,786

The GCF of 729,262 is 1 .

LCM of 12,786 is 1572.

The greatest common factor of 729/12,262/786 = [GCF of 729,262]/[LCM of 12,786]= 1/1572

Therefore, the GCF of 729/12,262/786 is 1/1572.

Greatest Common Factor of 729,262

To find the highest common factor of 729,262, we have to find the factors of both numbers and list the highest common factor.

The factors of 729 are 1, 3, 9, 27, 81, 243, 729

The factors of 262 are 1, 2, 131, 262

The HCF of 729,262 is 1.

Lets's calculate GCF of 729,262

Greatest Common Factor (GCF) of 729,262 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 729,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,262 By Matching Biggest Common Factor Method

Now, list down the factors of 729

:

1,3,9,27,81,243,729

Now, list down the factors of 262

:

1,2,131,262

Greatest Common Factor

We found the factors 729,262 . The biggest common factor number is the GCF number.
So the greatest common factor 729,262 is 1.

Lets's calculate LCM of 12,786

Lowest Common Multiple of 12,786 using Common Division

2 12, 786
3 6, 393
2, 131

∴ So the LCM of the given numbers is 2 x 3 x 2 x 131 = 1572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1572

Therefore, the GCF of Fractions 729/12,262/786 is 1/1572

Least Common Multiple of 12,786 with GCF Formula

Least Common Multiple of 12,786 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,786) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(12,786) x common factors =6 x 1 = 6

LCM(12,786) = ( 12 × 786 ) / 6

LCM(12,786) = 9432 / 6

LCM(12,786) = 1572


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FAQs on GCF of Fractions of 729/12, 262/786

1. What is the HCF of 729,262?

The HCF of 729,262 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 729/12, 262/786?

Answer: GCF of Numerators as per given numbers 729/12, 262/786 is

GCF of Numerators i.e. for 729,262 is 1

LCM of denominators i.e. for 12,786 is 1572.

Thus, GCF of Fractions is 1/1572.Finally, GCF of Fractions for 729/12, 262/786 is 1/1572.